Joint Application of Bilinear Operator and F-Expansion Method for (2+1)-Dimensional Kadomtsev-Petviashvili Equation

被引：0
|
作者：
Li, Shaolin [1 ]
He, Yinghui [1 ]
Long, Yao [1 ]
机构：
[1] Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷
关键词：
SOLITARY WAVE SOLUTIONS; NONLINEAR EVOLUTION-EQUATIONS; KDV EQUATION;
D O I：
10.1155/2014/156483
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The bilinear operator and F-expansion method are applied jointly to study (2 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation. An exact cusped solitary wave solution is obtained by using the extended single-soliton test function and its mechanical feature which blows up periodically in finite time for cusped solitary wave is investigated. By constructing the extended double-soliton test function, a new type of exact traveling wave solution describing the assimilation of solitary wave and periodic traveling wave is also presented. Our results validate the effectiveness for joint application of the bilinear operator and F-expansion method.
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页数：5
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